OFFSET
1,3
COMMENTS
Table starts
.......1...........1................3....................10
.......3..........10..............104..................1184
......11.........136.............4672................166400
......48........2080...........221696..............23896064
.....236.......32896.........10620928............3439984640
....1248......524800........509640704..........495341010944
....6896.....8390656......24461443072........71328837140480
...39168...134225920....1174138781696.....10271348253261824
..226496..2147516416...56358577635328...1479074079750225920
.1325568.34359869440.2705211055407104.212986666384520904704
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..240
FORMULA
Empirical for column k:
k=1: a(n) = 12*a(n-1) -44*a(n-2) +48*a(n-3)
k=2: a(n) = 20*a(n-1) -64*a(n-2)
k=3: a(n) = 56*a(n-1) -384*a(n-2)
k=4: a(n) = 160*a(n-1) -2304*a(n-2)
k=5: a(n) = 512*a(n-1) -33792*a(n-2) +589824*a(n-3)
k=6: a(n) = 1664*a(n-1) -471040*a(n-2) +44826624*a(n-3) -1358954496*a(n-4)
k=7: [order 5]
Empirical for row n:
n=1: a(n) = 6*a(n-1) -8*a(n-2) for n>3
n=2: a(n) = 16*a(n-1) -48*a(n-2) for n>3
n=3: a(n) = 48*a(n-1) -448*a(n-2) +1024*a(n-3) for n>5
n=4: a(n) = 160*a(n-1) -6144*a(n-2) +86016*a(n-3) -393216*a(n-4) for n>8
n=5: [order 7] for n>11
n=6: [order 10] for n>16
n=7: [order 28] for n>34
EXAMPLE
Some solutions for n=3 k=4
..0..1..0..2....0..1..0..2....0..1..2..4....0..1..0..2....0..1..2..4
..5..3..5..2....2..1..0..4....3..4..2..4....3..4..0..4....2..0..3..1
..4..3..1..5....5..2..0..3....3..1..5..4....3..1..5..1....4..0..2..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 06 2013
STATUS
approved